A piecewise hyperbolic map with absolutely continuous invariant measure

Persson T

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A piecewise hyperbolic map with absolutely continuous invariant measure

机译：具有绝对连续不变测度的分段双曲图

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摘要

We consider a class of non-invertible piecewise affine hyperbolic endomorphisms with singularities and show that for an open set of parameters there exists almost surely an absolutely continuous invariant measure. Also, exponential decay of correlations is proved for Holder continuous functions.

机译：我们考虑一类具有奇异性的不可逆分段仿射双曲同形，并证明对于一组开放参数，几乎可以肯定地存在一个绝对连续的不变量度。此外，证明了Holder连续函数的相关性呈指数衰减。

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来源
《Dynamical Systems》 |2006年第3期|p. 363-378|共16页
作者
Persson T;
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作者单位

Lund Inst Technol, Ctr Math Sci, Dept Math, SE-22100 Lund, Sweden;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
原文格式 PDF
正文语种 eng
中图分类工程基础科学;
关键词
EXPANDING MAPS; ENDOMORPHISMS; DIMENSION; SYSTEMS; AFFINE; PLANE;

机译：扩大制图;内生度;尺寸;系统;仿射;平面;

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专利

1. Absolutely continuous invariant measures for some piecewise hyperbolic affine maps [J] . Persson T Ergodic Theory and Dynamical Systems . 2008,第1期

机译：某些分段双曲仿射图的绝对连续不变测度
2. Absolutely continuous invariant measures for some piecewise hyperbolic affine maps [J] . Persson T Ergodic Theory and Dynamical Systems . 2008,第Pta1期

机译：某些分段双曲仿射图的绝对连续不变测度
3. Regularity of absolutely continuous invariant measures for piecewise expanding unimodal maps [J] . Contreras Fabian, Dolgopyat Dmitry Nonlinearity . 2016,第9期

机译：分段扩展单峰图的绝对连续不变测度的正则性
4. An efficient and accurate method for computing the invariant measure of piecewise affine chaotic maps [C] . Tommaso Addabbo, Ada Fort, Santina Rocchi, International Symposium on Circuits and Systems . 2008

机译：一种高效准确地计算分段仿射混沌映射的不变度量
5. Existence, approximation and properties of absolutely continuous invariant measures for random maps. [D] . Islam, Md. Shafiqul. 2005

机译：随机映射的绝对连续不变测度的存在性，逼近性和性质。
6. Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings [O] . Shunjun Jiang -1

机译：几乎可积辛映射的低维双曲不变托里的Gevrey光滑度
7. Absolutely continuous invariant measures for some piecewise hyperbolic affine maps [O] . Persson, Tomas 2008

机译：对于某些分段双曲仿射映射的绝对连续不变量度量
8. Absolutely Continuous Invariant Measures for C (sup 2) Unimodal Maps Satisfying the Collet-Eckmann Conditions [R] . Nowicki, T. , van Strien, S. 1987

机译：满足Collet-Eckmann条件的C（sup 2）单峰映射的绝对连续不变测度

A piecewise hyperbolic map with absolutely continuous invariant measure

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